Finding the Third Proportional to 103,633.50 and 221,484

Step by Step Solution

1. Step 1: Write the proportion equation
   103,633.50 : 221,484 = 221,484 : x
2. Step 2: Convert to fraction form
   103,633.50/221,484 = 221,484/x
3. Step 3: Cross multiply
   103,633.50x = 221,484 × 221,484
4. Step 4: Simplify right side
   103,633.50x = 49,055,162,256
5. Step 5: Solve for x
   x = 49,055,162,256/103,633.50
6. Step 6: Final answer
   x = 473,352.36